Seeing that she wasn't responding, the arrogant fellow in the gaping doorway of the carriage assumed that she was frightened.
It was unknown why he was thinking that, when she didn't look like she was afraid, but in his mind, the First Princess was only a weak woman, and a weak woman couldn't do anything but be afraid in a situation like this.
So, because he was thinking too much, the man became arrogant.
"Don't worry, Your Highness. If you're obedient and don't test my patience, I won't treat you badly, alright? The boss holds me in high esteem, so it's not impossible for me to protect you."
This piqued the Princess' interest, who began to regard him in a new light. "You're an important figure, then? Who is your boss?"